No-twos subgroup temperaments
(WIP, catalog of 3.5.7 subgroup rank two temperaments will eventually be redirected here)
This is a collection of subgroup temperaments which omit the prime harmonic of 2. These are all nonoctave scales using a period of a tritave rather than an octave.
Izar
Subgroup: 3.5.7
Comma list: 13841287201/13839609375
Subgroup-val mapping: [⟨1 7 5], ⟨0 -12 -7]]
Sval mapping generators: ~3, ~16807/10125
Optimal tuning (CTE): ~3 = 1\1edt, ~16807/10125 = 877.280
Supporting ETs: b13, b11cd, b193, b15cd, b180, b24c, b167, b37c, b154, 141, b50c, b28cd, b128, b63c
BPS
Subgroup: 3.5.7
Comma list: 245/243
Sval mapping: [⟨1 1 2], ⟨0 -2 1]]
Sval mapping generators: ~3, ~9/7
Optimal tuning (POTE): ~3 = 1\1edt, ~9/7 = 440.4881